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Finding the Fourth Proportional to 5,893.70, 8,839.88 and 1,511.26

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Solution

The fourth proportional to 5,893.70, 8,839.88 and 1,511.26 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.70 : 8,839.88 = 1,511.26 : x
  2. Step 2: Convert to fraction form
    5,893.70/8,839.88 = 1,511.26/x
  3. Step 3: Cross multiply
    5,893.70x = 8,839.88 × 1,511.26
  4. Step 4: Simplify right side
    5,893.70x = 13,359,316.63
  5. Step 5: Solve for x
    x = 13,359,316.63/5,893.70
  6. Step 6: Final answer
    x = 2,266.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.